Question

Which congruence theorem would complete the proof shown? SSS SAS ASA

Answer 1

Answer:

ASA

C is correct

Step-by-step explanation:

We are given table of congruence of triangle.

1.  Given: DC || AB and AD|| BC

2.  If two lines are parallel then a tranversal line makes eight angles.

∠2=∠3 and ∠1=∠4   ( Alternate interior angle )

3 .  If one side is common in two figure then reflexive property use.

CA = CA             (Reflexive )

If we take two triangles ΔDAC and ΔCAB are congruent by above property.

ΔDAC ≅ ΔCAB by two angle and one side.

The property of congruence is ASA

4. ΔDAC ≅ ΔCAB  by  ASA

Hence, The 4th reason is ASA

Answer 2

The correct answer would be ASA